34608640 has 80 divisors (see below), whose sum is σ = 90596880. Its totient is φ = 12574720.

The previous prime is 34608631. The next prime is 34608659. The reversal of 34608640 is 4680643.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27546 + ... + 28774.

It is an arithmetic number, because the mean of its divisors is an integer number (1132461).

Almost surely, 2^34608640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45298440).

34608640 is an abundant number, since it is smaller than the sum of its proper divisors (55988240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34608640 is a wasteful number, since it uses less digits than its factorization.

34608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 34608640 is about 5882.9108441315. The cubic root of 34608640 is about 325.8828540164.

It can be divided in two parts, 3460 and 8640, that added together give a square (12100 = 110²).

The spelling of 34608640 in words is "thirty-four million, six hundred eight thousand, six hundred forty".